FJRW-rings and Mirror Symmetry
Marc Krawitz (1), Nathan Priddis (2), Pedro Acosta (2), Natalie Bergin, (2), Himal Rathnakumara (2) ((1) University of Michigan, (2) Brigham Young, University)
TL;DR
This paper verifies the Landau-Ginzburg Mirror Symmetry Conjecture for specific singularities using FJRW-rings and discusses axioms that aid in their computation.
Contribution
It confirms the conjecture for Arnol'd's list of singularities and introduces eight axioms to simplify FJRW-ring calculations.
Findings
Verification of the conjecture for unimodal and bimodal singularities
Development of axioms for FJRW-ring computation
Enhanced understanding of mirror symmetry in singularity theory
Abstract
We verify the Landau-Ginzburg Mirror Symmetry Conjecture for Arnol'd's list of unimodal and bimodal quasi-homogeneous singularities with G the maximal diagonal symmetry group, and include a discussion of eight axioms which facilitate the computation of FJRW-rings.
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